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arxiv: 0911.0797 · v1 · submitted 2009-11-04 · 🧮 math.AG · math.NT

Dwork Congruences and reflexive Polytopes

classification 🧮 math.AG math.NT
keywords congruencesanalyticcoefficientscongruencecontinuationdworkexpansionexplicit
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We show that the coefficients of the power series expansion of the principal period of a Laurent polynomial satisfy strong congruence properties. These congruences play a key role in the explicit p-adic analytic continuation of the unit root.

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